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Is 137 square miles as big as Alcatraz?

It's about 4,000 times as big as Alcatraz
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The size of Alcatraz is about 0.034 square miles.
(a.k.a. The Rock) (California)
Alcatraz Island measures 0.034 square miles. It is known a part of the Golden Gate National Recreation Area, and has historically served as a lighthouse, fort, military prison, and — most famously — a federal prison.
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